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Finding the Fourth Proportional to 54,284, 81,419.52 and 23,128.16

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Solution

The fourth proportional to 54,284, 81,419.52 and 23,128.16 is: 34,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284 : 81,419.52 = 23,128.16 : x
  2. Step 2: Convert to fraction form
    54,284/81,419.52 = 23,128.16/x
  3. Step 3: Cross multiply
    54,284x = 81,419.52 × 23,128.16
  4. Step 4: Simplify right side
    54,284x = 1,883,083,685.68
  5. Step 5: Solve for x
    x = 1,883,083,685.68/54,284
  6. Step 6: Final answer
    x = 34,689.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.